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stributive property of multiplication over addition is used. Say specifically which properties are used an 3 x 15 = 3 x (5+ 10)

stributive property of multiplication over addition is used. Say specifically which properties are used an 3 x 15 = 3 x (5+ 10)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(d) In the following work, state which lines use the commutative and/or associative properties of multiplication as well as if the distributive property of multiplication over addition is used. Say specifically which properties are used and where. 3 x 15 = 3 x (5+ 10) (1) = 3 x 5 +3 x 10 (2) = 3 x 5 +3 x (2 × 5) (3) = 3 x 5 +3 x (5 × 2) (4) = 3 x 5 + (3 x 5) × 2 (5) = 15 + 15 x 2 (6) = 15 + 30 (7) = 45 (8)
Transcribed Image Text:(d) In the following work, state which lines use the commutative and/or associative properties of multiplication as well as if the distributive property of multiplication over addition is used. Say specifically which properties are used and where. 3 x 15 = 3 x (5+ 10) (1) = 3 x 5 +3 x 10 (2) = 3 x 5 +3 x (2 × 5) (3) = 3 x 5 +3 x (5 × 2) (4) = 3 x 5 + (3 x 5) × 2 (5) = 15 + 15 x 2 (6) = 15 + 30 (7) = 45 (8)
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